The determinant and adjoint of a square fuzzy matrix
Fuzzy Sets and Systems
Information Sciences: an International Journal
Bideterminants, arborescences and extension of the matrix-tree theorem to semirings
Discrete Mathematics
A generalization of the all minors matrix tree theorem to semirings
Discrete Mathematics
On compositions of lattice matrices
Fuzzy Sets and Systems
Canonical form of a transitive fuzzy matrix
Fuzzy Sets and Systems
Convergence of powers of a fuzzy transitive matrix
Fuzzy Sets and Systems
Transitivity of generalized fuzzy matrices
Fuzzy Sets and Systems
Similarity relations and fuzzy orderings
Information Sciences: an International Journal
On nilpotency of generalized fuzzy matrices
Fuzzy Sets and Systems
On generalized fuzzy matrices with periods
Fuzzy Sets and Systems
| Hi-index | 0.20 |
In this paper, generalized fuzzy matrices are considered as matrices over a special type of semiring which is called path algebra. Some elementary properties and characterizations for transitive generalized fuzzy matrices are established and transitivity of powers of a generalized fuzzy matrix is discussed. Also, the transitive closure of a generalized fuzzy matrix is considered and some properties of the transitive closures are obtained. Partial results obtained in this paper generalize the corresponding ones on nilpotent matrices and on matrices with periods.